Bone Collector

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Problem Description

Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …

The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the
maximum of the total value the bone collector can get ?

Input

The first line contain a integer T , the number of cases.

Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third
line contain N integers representing the volume of each bone.

Output

One integer per line representing the maximum of the total value (this number will be less than 2³¹).

Sample Input

1
5 10
1 2 3 4 5
5 4 3 2 1

Sample Output

14

01背包。

AC代码例如以下：

#include<iostream>
#include<cstring>
using namespace std;
int main()
{
    int t,n,v;
    int i,j;
    int a[1005],b[1005],dp[1005];
    cin>>t;
    while(t--)
    {
        cin>>n>>v;
        for(i=1;i<=n;i++)
            cin>>a[i];
        for(i=1;i<=n;i++)
            cin>>b[i];
        memset(dp,0,sizeof dp);
        for(i=1;i<=n;i++)
            for(j=v;j>=b[i];j--)
            dp[j]=max(dp[j-b[i]]+a[i],dp[j]);
            cout<<dp[v]<<endl;
    }

    return 0;
}

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